Pith Number

pith:LHZAKYRS

pith:2017:LHZAKYRSQ63S5OC5XGTN6AF2TD

not attested not anchored not stored refs pending

The downward directed grounds hypothesis and very large cardinals

Toshimichi Usuba

arxiv:1707.05132 v2 · 2017-07-17 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHZAKYRSQ63S5OC5XGTN6AF2TD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:10:19.354708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f205623287b72eb85db9a6df00ba98dddf9dab1ecafedb8f7c37eae6df9d7e

Aliases

arxiv: 1707.05132 · arxiv_version: 1707.05132v2 · doi: 10.48550/arxiv.1707.05132 · pith_short_12: LHZAKYRSQ63S · pith_short_16: LHZAKYRSQ63S5OC5 · pith_short_8: LHZAKYRS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LHZAKYRSQ63S5OC5XGTN6AF2TD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 59f205623287b72eb85db9a6df00ba98dddf9dab1ecafedb8f7c37eae6df9d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501aa1666842938ebfc656a597fa955c3b1c0e9040acce5a1040ed895a8f7d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-07-17T13:09:38Z",
    "title_canon_sha256": "e2bf9c1082a10e9d01c9a4156a50176ec08301cadacaa15e9c82688e05f09827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05132",
    "kind": "arxiv",
    "version": 2
  }
}